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Finding the Fourth Proportional to 1,130.22, 1,558.98 and 710.10

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Solution

The fourth proportional to 1,130.22, 1,558.98 and 710.10 is: 979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.22 : 1,558.98 = 710.10 : x
  2. Step 2: Convert to fraction form
    1,130.22/1,558.98 = 710.10/x
  3. Step 3: Cross multiply
    1,130.22x = 1,558.98 × 710.10
  4. Step 4: Simplify right side
    1,130.22x = 1,107,031.70
  5. Step 5: Solve for x
    x = 1,107,031.70/1,130.22
  6. Step 6: Final answer
    x = 979.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.